An engine has a moment of inertia of \(7.5 \mathrm{~kg} \cdot \mathrm{m}^{2}\) and a natural frequency of \(125 \mathrm{~Hz}\). Design a Houdaille damper such that the engine's maximum magnification factor is 4.8. During operation, the engine is subject to a harmonic torque of magnitude \(150 \mathrm{~N} \cdot \mathrm{m}\) at a frequency of \(120 \mathrm{~Hz}\). What is the engine's steady-state amplitude when the absorber is used?